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Proceedings of the Worldwide Music Conference 2021Networks of Symbolic Dynamical Scales

Proceedings of the Worldwide Music Conference 2021: Networks of Symbolic Dynamical Scales [Symbolic dynamical scales are sets of musical scales obtained from symbolic sequences. Here we present and identify classes of Fibonacci and Feigenbaum scales and analyze their modes and the cardinalities of their transversals and orbitals, together with Thue-Morse scales. Then we construct their modal interpolation networks. We use binary sequences, integer compositions, intervalic circles, and coding rules. The purpose is thus to show more ways in which symbolic sequences can systematically determine structural properties in music that can serve to develop theory and composition.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Proceedings of the Worldwide Music Conference 2021Networks of Symbolic Dynamical Scales

Part of the Current Research in Systematic Musicology Book Series (volume 8)
Editors: Khannanov, Ildar D.; Ruditsa, Roman
Gómez Aíza, Ricardo
Proceedings of the Worldwide Music Conference 2021 — Apr 13, 2021
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Publisher
Springer International Publishing
Copyright
© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
ISBN
978-3-030-74038-2
Pages
94 –105
DOI
10.1007/978-3-030-74039-9_10
Publisher site
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Abstract

[Symbolic dynamical scales are sets of musical scales obtained from symbolic sequences. Here we present and identify classes of Fibonacci and Feigenbaum scales and analyze their modes and the cardinalities of their transversals and orbitals, together with Thue-Morse scales. Then we construct their modal interpolation networks. We use binary sequences, integer compositions, intervalic circles, and coding rules. The purpose is thus to show more ways in which symbolic sequences can systematically determine structural properties in music that can serve to develop theory and composition.]

Published: Apr 13, 2021

Keywords: Scales; Symbolic dynamics; Coding; Fibonacci; Feigenbaum; Networks; Systematic composition

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